Digital quantum Rabi and Dicke models in superconducting circuits.

A Mezzacapo,J S Pedernales,L Dicarlo,U Las Heras,E Solano,L Lamata

doi:10.1038/srep07482

A Mezzacapo, J S Pedernales + Show 4 more

Open Access

https://doi.org/10.1038/srep07482

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Abstract

We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED). We find that all physical regimes, in particular those which are impossible to realize in typical cavity QED setups, can be simulated via unitary decomposition into digital steps. Furthermore, we show the emergence of the Dirac equation dynamics from the quantum Rabi model when the mode frequency vanishes. Finally, we analyze the feasibility of this proposal under realistic superconducting circuit scenarios.

Highlights

We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED)
We find that all physical regimes, in particular those which are impossible to realize in typical cavity QED setups, can be simulated via unitary decomposition into digital steps
We show the emergence of the Dirac equation dynamics from the quantum Rabi model when the mode frequency vanishes

Summary

Digital Quantum Rabi and Dicke Models in Superconducting Circuits

The coupling strength is small compared to the transition frequencies of the two-level system and the radiation mode, leading to effective Jaynes-Cummings and Tavis-Cummings interactions, respectively, after performing a rotating-wave approximation (RWA) This introduces a U(1) symmetry and integrability to the model for any N3,4. Coupling strengths larger than the mode frequency mark the transition towards the recently introduced deep-strong coupling (DSC) regime[10] Signatures of the latter may be retrieved effectively in different quantum systems[11,12], but an experimental observation of the full quantum Rabi and Dicke models in all parameter regimes has not yet been realized. We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models in a circuit QED setup, provided only with Jaynes-Cummings and Tavis-Cummings interactions, respectively. We show how a relativistic Dirac dynamics can be retrieved in the limit where the mode frequency cancels

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